Solve the inequality. Then graph the solution and give interval notation.
\[
-18 \leq-4 x-2< -10
\]

Step 1 ：Given the compound inequality -18 ≤ -4x - 2 < -10, we need to solve for x.

Step 2 ：First, add 2 to all parts of the inequality to get rid of the -2 on the left side. This gives us -16 ≤ -4x < -8.

Step 3 ：Next, divide all parts of the inequality by -4 to isolate x. Remember that when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes. This gives us 4 ≥ x > 2.

Step 4 ：The solution for the first inequality is x ≤ 4 and the solution for the second inequality is x > 2.

Step 5 ：The intersection of these two solutions is the solution to the compound inequality. This means that the solution to the compound inequality is 2 < x ≤ 4.

Step 6 ：The graph shows a blue line between 2 and 4 on the number line, indicating that the solution to the inequality is all numbers between 2 and 4, with 2 not included and 4 included.

Step 7 ：The interval notation for this solution is (2, 4].

Step 8 ：Final Answer: \(\boxed{(2, 4]}\)